Question

12)The ratio of four angles of a
quadrilateral is 5:6:4:9. Find the
angles.​

Answer 1

Answer:

75°,90°,60°and 135°

Step-by-step explanation:

let the ratio of the 4 angles be 5x,6x,4x and 9x.

As we know,

The sum of all angles of a quadrilateral is 360°.

Then,

5x + 6x + 4x + 9x = 360°

24x = 360°

x=360/24

x=15

Now we now x=15.

so, let's find the angles,

• first angle = 5×15= 75°
• second angle = 6×15=90°
• third angle=4×15=60°
• forth angle=9×15=135°

Answer 2

Answer:

5x+6x+4x+9x = 360

11x+13x=360

24x= 360

x=15

angle 1 is 75

angle 2 is 90

angle 3 is 60

angle 4 is 135